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arXiv · 1707.05322

On the global moduli of Calabi-Yau threefolds

Ron Donagi·Mark Macerato·Eric Sharpe
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Abstract

In this note we initiate a program to obtain global descriptions of Calabi-Yau moduli spaces, to calculate their Picard group, and to identify within that group the Hodge line bundle, and the closely-related Bagger-Witten line bundle. We do this here for several Calabi-Yau's obtained in [DW09] as crepant resolutions of the orbifold quotient of the product of three elliptic curves. In particular we verify in these cases a recent claim of [GHKSST16] by noting that a power of the Hodge line bundle is trivial -- even though in most of these cases the Picard group is infinite.

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Ron Donagi, Mark Macerato, Eric Sharpe. 2017-07-17. On the global moduli of Calabi-Yau threefolds. https://doi.org/10.4310/ajm.2022.v26.n4.a4

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